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Integral of 1/(x^3-2x^2+x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
 oo                 
  /                 
 |                  
 |        1         
 |  ------------- dx
 |   3      2       
 |  x  - 2*x  + x   
 |                  
/                   
-oo                 
$$\int\limits_{-\infty}^{\infty} \frac{1}{x + \left(x^{3} - 2 x^{2}\right)}\, dx$$
Integral(1/(x^3 - 2*x^2 + x), (x, -oo, oo))
The answer (Indefinite) [src]
  /                                                    
 |                                                     
 |       1                  1                          
 | ------------- dx = C - ------ - log(-1 + x) + log(x)
 |  3      2              -1 + x                       
 | x  - 2*x  + x                                       
 |                                                     
/                                                      
$$\int \frac{1}{x + \left(x^{3} - 2 x^{2}\right)}\, dx = C + \log{\left(x \right)} - \log{\left(x - 1 \right)} - \frac{1}{x - 1}$$
The graph
The answer [src]
nan
$$\text{NaN}$$
=
=
nan
$$\text{NaN}$$
nan

    Use the examples entering the upper and lower limits of integration.